a Mathematics book contain 250 pages a page is selected at random what is the probability that the number on the page select is a perfect square
Answers
total no of outcomes =250
no favorable outcomes =15
probability of a perfect square =favorable outcomes÷ total no of outcomes =15÷250=3÷50 is the answer
Given,
Total number of pages in a mathematics book = 250
To find,
If a page is selected at random, the probability that the number on the page selected is a perfect square.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
The probability of occurrence of a favorable event = P (favorable event)
= (Total number of occurrence of the favorable event) / (Total number of occurrence of all possible events)
= (Total number of occurrence of the favorable event) / (Total number of trials)
As per the given question;
The favorable event is the occurrence of a perfect square as the page number, that is the squares of all the natural numbers starting from 1 up to 15.
And, the total number of trials = total number of pages in the mathematics book = 250
So, the probability that the number on the page selected at random is a perfect square
= (Total number of occurrence of the favorable event) / (Total number of trials)
= (Total number of occurrence of a perfect square as the page number) / (Total number of pages in the mathematics book)
= 15/250
= 3/50 = 0.06
Hence, the probability that the number on the page selected at random is a perfect square is equal to 0.06.